Publications and preprints

Please visit my Google Scholar, Research Gate or ORCID profile for an up-to-date list of publications. Below is a list of 5 selected works:

• Christof Beierle, Philippe Langevin, Gregor Leander, Alexandr Polujan, Shahram Rasoolzadeh. Millions of inequivalent quadratic APN functions in eight variables. arXiv preprint arXiv:2508.04644 (2025)
• Sadmir Kudin, Enes Pasalic, Alexandr Polujan, Fengrong Zhang. The Algebraic Characterization of ℳ-Subspaces of Bent Concatenations and Its Application. IEEE Trans. Inf. Theory 71(5): 3999-4011 (2025)
• Lukas Kölsch, Alexandr Polujan. Value Distributions of Perfect Nonlinear Functions. Comb. 44(2): 231-268 (2024)
• Wilfried Meidl, Alexandr Polujan, Alexander Pott. Linear codes and incidence structures of bent functions and their generalizations. Discret. Math. 346(1): 113157 (2023)
• Alexandr Polujan, Alexander Pott. Cubic bent functions outside the completed Maiorana-McFarland class. Des. Codes Cryptogr. 88(9): 1701-1722 (2020)

Talks

I gave more than 20 talks at international conferences and workshops, including BFA (Boolean Functions and their Applications), WCC (Workshop on Coding and Cryptography), ISIT (IEEE International Symposium on Information Theory), and Fq (the International Conference on Finite Fields and Their Applications), KolKom (Colloquium on Combinatorics), as well as seminars at various universities. Below is a list of 5 selected invited talks:

• BFA 2025, Cyprus (31/08–05/09/2025) — Perfect Nonlinear, Plateaued, and APN functions
• Workshop “Bent Functions: Recent Developments”, Sabanci University, Istanbul (26/01–01/02/2025) — Value distributions of perfect nonlinear and plateaued functions
• DMV Meeting 2023, Ilmenau, Germany (25/09–28/09/2023) — On the analysis and construction methods of bent functions
  
• Discrete Mathematics Seminar, University of Rostock, Germany (26/09–30/09/2022) — Designs and Vectorial Bent Functions
  
• Research Seminar, University of Primorska, Koper, Slovenia (31/08–17/09/2019) — Geometric Aspects of Bent Functions

I have taught a variety of courses at OvGU, covering various topics in mathematics. My teaching includes lectures, lecture exercises, and group exercises, delivered both in German and English. Courses I organized and taught include:

• Mathematics for Computer Scientists V (Coding Theory, Discrete Mathematics, Optimization)
• Mathematical Methods I & II for Economists and Human Scientists
• Foundations of Mathematics (for the Philosophy–Neuroscience–Cognition program)
• Linear Algebra for Teachers of Mathematics
• Preparatory Mathematics Courses (for international study programs in economics and management)
• Refreshment Course in Mathematical Methods

• Since 10/2021 – Postdoctoral Researcher, Discrete Mathematics Group, IAG, FMA, OvGU
• 10/2017 – 09/2021 – Research and Teaching Associate and Doctoral Candidate, Discrete Mathematics Group, IAG, FMA, OvGU. You can find my PhD thesis "Boolean and vectorial functions: A design-theoretic point of view" here
• 01/2016 – 01/2017 – Doctoral Candidate, Discrete Mathematics Group, IAG, FMA, OvGU (Landesgraduierten-Stipendium, funded by the Ministry of Science and Economic Affairs of Saxony-Anhalt)
• 06/2015 – Diploma in Computer Mathematics and Systems Analysis, BSU